22211101011313 has 2 divisors, whose sum is σ = 22211101011314. Its totient is φ = 22211101011312.

The previous prime is 22211101011311. The next prime is 22211101011371. The reversal of 22211101011313 is 31311010111222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16688262606129 + 5522838405184 = 4085127^2 + 2350072^2 .

It is a cyclic number.

It is not a de Polignac number, because 22211101011313 - 2¹ = 22211101011311 is a prime.

Together with 22211101011311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22211101011311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105550505656 + 11105550505657.

It is an arithmetic number, because the mean of its divisors is an integer number (11105550505657).

Almost surely, 2^{22211101011313} is an apocalyptic number.

It is an amenable number.

22211101011313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211101011313 is an equidigital number, since it uses as much as digits as its factorization.

22211101011313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 22211101011313 its reverse (31311010111222), we get a palindrome (53522111122535).

Subtracting 22211101011313 from its reverse (31311010111222), we obtain a palindrome (9099909099909).

The spelling of 22211101011313 in words is "twenty-two trillion, two hundred eleven billion, one hundred one million, eleven thousand, three hundred thirteen".